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首页> 外文期刊>Mechanics research communications >A numerical study on the thermal buckling of variable thickness Mindlin circular FGM plate on a two-parameter foundation
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A numerical study on the thermal buckling of variable thickness Mindlin circular FGM plate on a two-parameter foundation

机译：双参数基础可变厚度圆形FGM板热屈曲的数值研究

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摘要

In the present work, the symmetric thermal buckling behavior of shear deformable heterogonous circular plates of variable thickness resting on a two parameter foundation is studied. The plate material properties assumed to be graded across the thickness direction according to a simple power law, and the plate thickness assumed to be varied along the radial direction within another power function. Implementing Mindlin's plate theory and the nonlinear von-Karman strain field, the plate stability equations together with the membrane equilibrium equation are derived and expressed in terms of the displacement field components. Then the nondimensionalized forms of the equations are discretized along with their corresponding boundary conditions by employing differential quadrature method (DQM). The resulting set of linear algebraic equations constitutes an eigenvalue problem, which can be solved to evaluate the plate critical buckling temperature difference. The present DQ formulation has fast convergence with more accurate results than those of recent references. The influences of some important parameters including the plate taper parameter and Pasternak bed coefficients on the buckling load and mode shape are investigated, which comprise some novel results useful for design optimization of such structural elements. (C) 2020 Elsevier Ltd. All rights reserved.
机译：在本作工作中，研究了搁置在两个参数基础上的可变厚度的剪切变形的异源圆形板的对称热屈曲行为。根据简单的功率法，假设在厚度方向上被逐渐探测的板材特性，并且在另一功率功能内沿径向沿径向变化。实施Mindlin的板理论和非线性von-Karman应变场，衍生和表达膜稳定性方程与膜平衡方程的稳定性方程，并以位移场分量表示。然后，通过采用差分正交方法（DQM），与它们相应的边界条件一起离散化方程的非潜能形式。所得到的一组线性代数方程构成了特征值问题，可以解决以评估板块关键屈曲温差。目前的DQ配方快速收敛，结果比最近的参考文献更准确。研究了包括板锥参数和浮动载荷和模式形状的一些重要参数的影响，这包括一些用于设计优化这种结构元件的新颖结果。 （c）2020 elestvier有限公司保留所有权利。

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